(35 points) 3. Solve the following 2nd order ODE's. a) 2y" =y'+6y, with y(0) =1 and y'(0) = 0. b) 4y"+4y'+y = 0, with y(0) = 0 and y'(0) = 2. c) y"+2y +3y = 0, with y(0) =2 and y'(0) = 0.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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ul Boost ?
7:04 PM
A ncc.sln.suny.edu
3. Solve the following 2nd order ODE's.
(35 points)
a) 2y" = y'+6y, with y(0) =1 and y'(0) = 0.
b) 4y"+4y'+y =0, with y(0) = 0 and y'(0) = 2.
c) y"+2y'+3y =0, with y(0) = 2 and y'(0)=0.
The Adventure Continues One More Time
4.
a) Verify that y,(x) =e¯* is a solution to the DE xy" +(2x–1) y' +(x-1)y=0. (20 points)
Transcribed Image Text:ul Boost ? 7:04 PM A ncc.sln.suny.edu 3. Solve the following 2nd order ODE's. (35 points) a) 2y" = y'+6y, with y(0) =1 and y'(0) = 0. b) 4y"+4y'+y =0, with y(0) = 0 and y'(0) = 2. c) y"+2y'+3y =0, with y(0) = 2 and y'(0)=0. The Adventure Continues One More Time 4. a) Verify that y,(x) =e¯* is a solution to the DE xy" +(2x–1) y' +(x-1)y=0. (20 points)
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